Finite Group DatabasebetaFinite Group Databasebeta| order | 37984 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | SD16×C1187 ⋊ C2 |
| Sylow | C1187 ⋊ #135 |
62 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18992 |
Polycyclic presentation:
2^5,1187|c^2=e,d^2=e,b^a=bd,d^a=de,d^b=de,f^b=f^1186,f^c=f^11864165 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(37984, 167);